Spring 2025
Time & Location: All talks are on Tuesdays in _______ at 3:30PM unless otherwise noted.
Organizer: Moslem Uddin
January 27
Title: Unearthing Latent Time Series in Repeated Survey Data
John V Argentino - Tulane University Host: (Moslem Uddin)
Abstract: In today’s world of readily available data, repeated survey data is commonplace in a variety of settings. These data are collected to model the impacts of particular variables of interest, which are often estimated using methods that assume temporal independence in the observed noise. This premise is shaky given how easily conceivable it is that variables not accounted for have some degree of continuity over time. This talk will present a method that seeks to reconcile mixed effect models and time series analysis while employing classic results from linear algebra to identify it’s potential pitfalls.
Time: 3:30 pm
Location: DW 102
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February 4
Title: Symbolic powers via extension
Haoxi Hu - Tulane University Host: (Moslem Uddin)
Abstract: Symbolic Powers of ideals are well-studied objects, in this talk, We investigates under which conditions the symbolic powers of the extension of an ideal is the same as the extension of the symbolic powers. Our result generalizes the known scenarios. As an application, we prove formulas for the resurgence of sum of two homogeneous ideals in finitely generated k-algebra domains, where k is algebraically closed. Initially, these were known for ideals in polynomial rings. over time. This talk will present a method that seeks to reconcile mixed effect models and time series analysis while employing classic results from linear algebra to identify it’s potential pitfalls.
Time: 3:30 pm
Location: Norman Mayer Building - MA-101 (G)
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February 11
Title: Partial Betti splittings for binomial edge ideals
Aniketh Sivakumar - Tulane University
Abstract: The Free resolution of a module is an object which contains important information about the structure of the module. These resolutions are used to define several invariants associated to a module, including their Betti numbers. In this talk, we will introduce the notion of a partial Betti splitting of a homogeneous ideal, generalizing the notion of a Betti splitting first given by Francisco, Hà, and Van Tuyl. We will also define an ideal associated to a graph known as its binomial edge ideal and describe an explicit partial Betti splitting for this class of ideals.
Time: 3:00 pm
Location: BO 242
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February 18
Title: Stochastic Differential Equations, Epidemic Models, and a brief overview on Chagas' Disease.
Joshua Agbomola - Tulane University
Abstract: The presentation provides an introduction to Chagas disease, a parasitic infection caused by Trypanosoma cruzi, primarily transmitted by Triatomine bugs. It outlines key transmission pathways, including vector-borne, congenital, and less common mechanisms. The discussion then shifts to the application of a stochastic SIS (Susceptible-Infected-Susceptible) model, illustrating how randomness can enhance epidemic modeling by accounting for variability and uncertainty in disease dynamics.
Time: 3:00 pm
Location: BO 242
